4904376009000 has 256 divisors, whose sum is σ = 16704448750080. Its totient is φ = 1190692915200.

The previous prime is 4904376008999. The next prime is 4904376009019. The reversal of 4904376009000 is 9006734094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985677 + ... + 3708323.

It is an arithmetic number, because the mean of its divisors is an integer number (65251752930).

Almost surely, 2^{4904376009000} is an apocalyptic number.

4904376009000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4904376009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352224375040).

4904376009000 is an abundant number, since it is smaller than the sum of its proper divisors (11800072741080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4904376009000 is a wasteful number, since it uses less digits than its factorization.

4904376009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722757 (or 1722743 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 4904376009000 in words is "four trillion, nine hundred four billion, three hundred seventy-six million, nine thousand".